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Finding the Fourth Proportional to 465,136.60, 697,704.90 and 457,263.40

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Solution

The fourth proportional to 465,136.60, 697,704.90 and 457,263.40 is: 685,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,136.60 : 697,704.90 = 457,263.40 : x
  2. Step 2: Convert to fraction form
    465,136.60/697,704.90 = 457,263.40/x
  3. Step 3: Cross multiply
    465,136.60x = 697,704.90 × 457,263.40
  4. Step 4: Simplify right side
    465,136.60x = 319,034,914,770.66
  5. Step 5: Solve for x
    x = 319,034,914,770.66/465,136.60
  6. Step 6: Final answer
    x = 685,895.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.